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Dynamical behavior of steady granular flow is investigated numerically in theinelastic hard sphere limit of the soft sphere model. We find distinctivelydifferent limiting behaviors for the two flow regimes, i.e., the collisionalflow and the frictional flow. In the collisional flow, the hard sphere limit isstraightforward; the number of collisions per particle per unit time convergesto a finite value and the total contact time fraction with other particles goesto zero. For the frictional flow, however, we demonstrate that the collisionrate diverges as the power of the particle stiffness so that the time fractionof the multiple contacts remains finite even in the hard sphere limit althoughthe contact time fraction for the binary collisions tends to zero.Comment: 10 figures. Typos removed. to appear in Phys. Rev.

Hard-sphere limit of soft-sphere model for granular materials: Stiffness dependence of steady granular flow